TY - JOUR A2 - Elaiw, A. M. AU - Song, Qiang AU - Liu, Fang AU - Cao, Jinde AU - Qiu, Jianlong PY - 2013 DA - 2013/09/30 TI - Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces SP - 783279 VL - 2013 AB - This paper proposes two Cucker-Smale-type flocking models by introducing both cohesive and repulsive forces to second-order multiagent systems. Under some mild conditions on the initial state of the flocking system, it is shown that the velocity consensus of the agents can be reached independent of the parameter which describes the decay of communication rates. In particular, the collision between any two agents can always be avoided by designing an appropriate bounded repulsive function based on the initial energy of the flock. Numerical examples are given to demonstrate the effectiveness of the theoretical analysis. SN - 1085-3375 UR - https://doi.org/10.1155/2013/783279 DO - 10.1155/2013/783279 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -